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The exponential growth or decay with time of the out-of-time-order commutator (OTOC) is one widely used diagnostic of many-body chaos in spatially-extended systems.
P. W. Anderson, “Absence of diffusion in certain random lattices,” Phys. Rev. 109
1958
Earlier work this paper cites.
A. I. Larkin and Y. N. Ovchinnikov, “Quasiclassical Method in the Theory of Superconductivity,” Soviet Journal of Experimental and Theoretical Physics 28
1969
Earlier work this paper cites.
Robert J. Deissler, “One-dimensional strings, random fluctuations, and complex chaotic structures,” Physics Letters A 100
1984
Earlier work this paper cites.
Kunihiko Kaneko, “Lyapunov analysis and information flow in coupled map lattices,” Physica D: Nonlinear Phenomena 23
1986
Earlier work this paper cites.
Robert J. Deissler and Kunihiko Kaneko, “Velocity-dependent lyapunov exponents as a measure of chaos for open-flow systems,” Physics Letters A 119
1987
Earlier work this paper cites.
D E Wolf, “Wulff construction and anisotropic surface properties of two-dimensional eden clusters,” Journal of Physics A: Mathematical and General 20
1987
Earlier work this paper cites.
J. M. Deutsch, “Quantum statistical mechanics in a closed system,” Phys. Rev. A 43
1991
Earlier work this paper cites.
J Krug, H Spohn, and C Godrèche, “in ‘solids far from equilibrium’,” Solids far from equilibrium (1991)
1991
Earlier work this paper cites.
R Livi, A Politi, and S Ruffo, “Scaling-law for the maximal lyapunov exponent,” Journal of Physics A: Mathematical and General 25
1992
Earlier work this paper cites.
Kunihiko Kaneko, “Propagation of disturbance, co-moving lyapunov exponent and path summation,” Physics Letters A 170
1992
Earlier work this paper cites.
S. Sachdev and J. Ye, “Gapless spin-fluid ground state in a random quantum Heisenberg magnet,” Physical Review Letters 70
1993
Earlier work this paper cites.
Mark Srednicki, “Chaos and quantum thermalization,” Phys. Rev. E 50
1994
Earlier work this paper cites.
Arkady S Pikovsky and Jürgen Kurths, “Roughening interfaces in the dynamics of perturbations of spatiotemporal chaos,” Physical Review E 49
1994
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Advances in Theoretical and Mathematical Physics 2
1998
Earlier work this paper cites.
J. Maldacena, “The Large-N Limit of Superconformal Field Theories and Supergravity,” International Journal of Theoretical Physics 38
1999
Earlier work this paper cites.
D. M. Basko, I. L. Aleiner, and B. L. Altshuler, “Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states,” Annals of Physics 321
2006
Earlier work this paper cites.
B. Nachtergaele, Y. Ogata, and R. Sims, “Propagation of Correlations in Quantum Lattice Systems,” Journal of Statistical Physics 124
2006
Earlier work this paper cites.
B. Nachtergaele and R. Sims, “Lieb-Robinson Bounds and the Exponential Clustering Theorem,” Communications in Mathematical Physics 265
2006
Earlier work this paper cites.
M. B. Hastings and T. Koma, “Spectral Gap and Exponential Decay of Correlations,” Communications in Mathematical Physics 265
2006
Earlier work this paper cites.
C. Monthus and T. Garel, “Probing the tails of the ground-state energy distribution for the directed polymer in a random medium of dimension d=1,2,3 via a Monte Carlo procedure in the disorder,” Phys. Rev. E 74
2006
Earlier work this paper cites.
Vadim Oganesyan and David A. Huse, “Localization of interacting fermions at high temperature,” Phys. Rev. B 75
2007
Earlier work this paper cites.
2007
Earlier work this paper cites.
Tomaž Prosen and Iztok Pižorn, “Operator space entanglement entropy in a transverse ising chain,” Physical Review A 76
2007
Earlier work this paper cites.
Marcos Rigol, Vanja Dunjko, and Maxim Olshanii, “Thermalization and its mechanism for generic isolated quantum systems,” Nature 452
2008
Earlier work this paper cites.
Immanuel Bloch, Jean Dalibard, and Wilhelm Zwerger, “Many-body physics with ultracold gases,” Rev. Mod. Phys. 80
2008
Earlier work this paper cites.
2008
Cited alongside, same era.
2008
Cited alongside, same era.
2009
Cited alongside, same era.
2009
Cited alongside, same era.
Arijeet Pal and David A. Huse, “Many-body localization phase transition,” Phys. Rev. B 82
D. Stanford, “Many-body chaos at weak coupling,” Journal of High Energy Physics 10
2016
Later among the works it cites.
2016
Later among the works it cites.
Daniel A. Roberts and Brian Swingle, “Lieb-robinson bound and the butterfly effect in quantum field theories,” Phys. Rev. Lett. 117
2016
Later among the works it cites.
2016
Later among the works it cites.
Jeffrey Kelling, Géza Ódor, and Sibylle Gemming, “Universality of (2+1)-dimensional restricted solid-on-solid models,” Phys. Rev. E 94
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2010
Cited alongside, same era.
2012
Cited alongside, same era.
Jens H. Bardarson, Frank Pollmann, and Joel E. Moore, “Unbounded growth of entanglement in models of many-body localization,” Phys. Rev. Lett. 109
2012
Cited alongside, same era.
Timothy Halpin-Healy, “( 2 + 1 2\mathbf{+}1 )-dimensional directed polymer in a random medium: Scaling phenomena and universal distributions,” Phys. Rev. Lett. 109
2012
Cited alongside, same era.
2013
Cited alongside, same era.
Timothy Halpin-Healy, “Extremal paths, the stochastic heat equation, and the three-dimensional kardar-parisi-zhang universality class,” Phys. Rev. E 88
2013
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2014
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2015
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2016
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2017
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2017
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2017
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D. Chowdhury and B. Swingle, “Onset of many-body chaos in the O (N ) model,” Phys. Rev. D 96
2017
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2017
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2017
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D. J. Luitz and Y. Bar Lev, “Information propagation in isolated quantum systems,” Phys. Rev. B 96
2017
Later among the works it cites.
I. Kukuljan, S. Grozdanov, and T. Prosen, “Weak quantum chaos,” Phys. Rev. B 96
2017
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X. Chen, T. Zhou, D. A. Huse, and E. Fradkin, “Out-of-time-order correlations in many-body localized and thermal phases,” Annalen der Physik 529
2017
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2017
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2017
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2017
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2017
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J Dubail, “Entanglement scaling of operators: a conformal field theory approach, with a glimpse of simulability of long-time dynamics in 1+ 1d,” Journal of Physics A: Mathematical and Theoretical 50
2017
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2017
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Adam Nahum, Jonathan Ruhman, Sagar Vijay, and Jeongwan Haah, “Quantum entanglement growth under random unitary dynamics,” Physical Review X 7
2017
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2018
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